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VITEEE PCME Mock Test - 8

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125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 8

VITEEE PCME Mock Test - 8 for JEE 2023 is part of VITEEE: Subject Wise and Full Length MOCK Tests preparation. The VITEEE PCME Mock Test - 8 questions and answers have been prepared according to the JEE exam syllabus.The VITEEE PCME Mock Test - 8 MCQs are made for JEE 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for VITEEE PCME Mock Test - 8 below.

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VITEEE PCME Mock Test - 8 - Question 1

For the curve x = t² - 1, y = t²- t tangent is parallel to x-axis where

A.
t = 0
B.
t = 1/√3
C.
1/2
D.
- 1/√3

VITEEE PCME Mock Test - 8 - Question 2

The area, in square unit, bounded by the curves y = x³, y = x² and the ordinates x = 1, x = 2 is

A.
17/12
B.
12/13
C.
2/7
D.
7/2

VITEEE PCME Mock Test - 8 - Question 3

A.
xyz
B.
2xyz
C.
3xyz
D.
4xyz

VITEEE PCME Mock Test - 8 - Question 4

If z and ω are two non-zero complex numbers such that |z ω | = 1, and arg(z) - arg(ω)= π/2,then z̅ω is equal to

A.
1
B.
-1
C.
i
D.
-i

VITEEE PCME Mock Test - 8 - Question 5

A.
8/693
B.
5/693
C.
4/693
D.
10/693

VITEEE PCME Mock Test - 8 - Question 6

The derivative of an odd function is an

A.
Even function
B.
Odd function
C.
Even and odd function
D.
None

VITEEE PCME Mock Test - 8 - Question 7

Suppose ω is an imaginary cube root of unity. If (1+ω²)^m = (1+ω⁴)^m, then the least positive integral value of m is

A.
6
B.
5
C.
4
D.
3

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 7

The given equation reduces to (−ω)^m = (−ω²)^m

⇒ ω^m = 1

⇒ m = 3

VITEEE PCME Mock Test - 8 - Question 8

A.
0
B.
1
C.
abc
D.
(a − b) (b − c)(c − a)

VITEEE PCME Mock Test - 8 - Question 9

is continuous at x = 0, then k =

A.
− 4
B.
− 3
C.
− 2
D.
− 1

VITEEE PCME Mock Test - 8 - Question 10

The differential equation which represents the family of plane curves y=exp. (cx) is

A.
y'=cy
B.
xy'-logy=0
C.
x log y=yy'
D.
y log y=xy'

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 10

y = e^cx
dy/dx = c. e^cx
y' = cy

VITEEE PCME Mock Test - 8 - Question 11

The differential equation representing the family of curves y² = 2c(x + √c), where c>0, is a parameter, is of order and degree as follows

A.
order 1, degree 1
B.
order 1, degree 2
C.
order 2, degree 2
D.
order 1, degree 3

VITEEE PCME Mock Test - 8 - Question 12

If y = y(x) and [(2 + sin x)∕(y + 1)(dy∕dx)] = -cos x, y(0) = 1, then y (π∕2) equals

A.
1∕3
B.
2∕3
C.
-1∕3
D.
1

VITEEE PCME Mock Test - 8 - Question 13

If siny=x sin (a+y), (dy/dx)=

A.
[(sin²(a+y))/(sina)]
B.
sin(a+y)
C.
sin²(a+y)
D.
sin[(a+y)/(sina)]

VITEEE PCME Mock Test - 8 - Question 14

Integrating factor of

A.
e^1/y
B.
e^-^1/y
C.
y
D.
-1/y

VITEEE PCME Mock Test - 8 - Question 15

If f(x) = cos (logx), then f(x) f(y) -1/2[f(x/y) + f(xy)] has the value

A.
1
B.
1/2
C.
-2
D.
0

VITEEE PCME Mock Test - 8 - Question 16

∫sin√x dx =

A.
2[sin√x-cos√x]+c
B.
2[sin√x-√x cos√x]+c
C.
2[sin√x+cos√x]+c
D.
2[sin√x+√x cos√x]+c

VITEEE PCME Mock Test - 8 - Question 17

∫[(sec²x)/(1+tanx)] dx =

A.
log(cosx+sinx)+c
B.
log(sec²x)
C.
log(1+tanx)
D.
-[(1)/(1+tanx)²]

VITEEE PCME Mock Test - 8 - Question 18

If sin (sin⁻¹ 1/5 + cos^-1 x) = 1, then x is equal to

A.
1
B.
0
C.
4/5
D.
1/5

VITEEE PCME Mock Test - 8 - Question 19

If a , b , c , d are positive real numbers then

A.
B.
C.
D.
e

VITEEE PCME Mock Test - 8 - Question 20

Which is logically equivalent to "If today is Sunday, Matt cannot play hockey."?

A.
Today is Sunday and Matt can play hockey.
B.
If Matt plays hockey, then today is not Sunday.
C.
Today is Sunday and Matt cannot play hockey.
D.
Today is not Sunday if and only if Matt plays hockey.

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 20

Statements are logically equivalent to their contrapositives.

VITEEE PCME Mock Test - 8 - Question 21

A.
0
B.
1
C.
- 1
D.
∞

VITEEE PCME Mock Test - 8 - Question 22

If A is a singular matrix, then A adj (A)

A.
is an identity matrix
B.
is a zero scalar
C.
is a scalar matrix
D.
is an orthogonal matrix

VITEEE PCME Mock Test - 8 - Question 23

If the value of a determinants is 11, then the square of the determinant formed by its cofactor will be

A.
14641
B.
1331
C.
121
D.
11

VITEEE PCME Mock Test - 8 - Question 24

How many words can be formed from the letters of the word MATHEMATICS?

A.
[(11!)/(2!2!)]
B.
[(11!)/(2!)]
C.
[(11!)/(2!2!2!)]
D.
11!

VITEEE PCME Mock Test - 8 - Question 25

\'A\' draws two cards with replacement from a pack of 52 cards and \'B\' throws a pair of dice. What is the chance that \'A\' gets both cards of same suit and \'B\' gets total of 6?

A.
1/144
B.
1/8
C.
5/144
D.
7/144

VITEEE PCME Mock Test - 8 - Question 26

The probabiltiy that the two digit number formed by digits 1,2,3,4 is divisible by 4, is

A.
1/30
B.
1/20
C.
1/5
D.
None of these

VITEEE PCME Mock Test - 8 - Question 27

A single letter is selected at random from the word PROBABILITY. The probability that it is a vowel is

A.
3/11
B.
4/11
C.
2/11
D.
1/11

VITEEE PCME Mock Test - 8 - Question 28

A.
Δ/s
B.
1/r
C.
2/r
D.
3/r

VITEEE PCME Mock Test - 8 - Question 29

The fourth ,seventh and tenth of a G.P. are p,q,r respectively then

A.
p² = qr
B.
q² = qr
C.
p²= q² + r²
D.
pqr + pq + 1 =0

VITEEE PCME Mock Test - 8 - Question 30

Which of the following measures of marks is the most suitable one of central location for computing intelligence of students?

A.
Mode
B.
Arithmetic mean
C.
Geometric Mean
D.
Median

VITEEE PCME Mock Test - 8 - Question 31

A batsman scores runs in 10 innings 38, 70, 48, 34, 42, 55, 63, 46, 54 and 44, then the mean deviation is

A.
8.6
B.
6.4
C.
10.6
D.
9.6

VITEEE PCME Mock Test - 8 - Question 32

In equation 2^|x+1|-2^x=|2^x-1|+1 the values of x are

A.
x ≤ 0
B.
2
C.
-2, x ≥ 0
D.
none of these

VITEEE PCME Mock Test - 8 - Question 33

The equation of the sphere concentric with the sphere x²+y²+z²-4x-6y-8z=0 and which passes thro' (0.1,0) is

A.
x²+y²+z²-4x-6y-8z+1=0
B.
x²+y²+z²-4x-6y-8z+5=0
C.
x²+y²+z²-4x-6y-5z+2=0
D.
x²+y²+z²-4x-6y-5z+3=0

VITEEE PCME Mock Test - 8 - Question 34

If √2 + √3 + i be one of the roots of a given equation f(x) = 0 with real coefficients, then the lowest degree of such an equation must be____

A.
2
B.
3
C.
6
D.
8

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 34

Since the complex and irrational roots occure in pairs, therefore, if one root is 2 + √3 + i , then the other roots are

VITEEE PCME Mock Test - 8 - Question 35

The equation of the sphere concentric with the sphere x²+y²+z² - 4x - 6y - 8z - 5 = 0 and which passes through the point (0, 1, 0) is

A.
x²+y²+z² + 4x + 6y - 8z - 7 = 0
B.
x²+y²+z² - 4x - 6y - 8z = 0
C.
x²+y²+z² - 4x - 6y - 8z + 5 = 0
D.
x²+y²+z² - 4x + 6y - 8z - 7 = 0

VITEEE PCME Mock Test - 8 - Question 36

If m₁, m₂ are slopes of the two tangents that are drawn from (2, 3) to the parabola y² = 4x, then the value of [(1/m₁) + (1/m₂)] is

A.
3
B.
-3
C.
2/3
D.
3/2

VITEEE PCME Mock Test - 8 - Question 37

If P is any point on the hyperbola [(x - 1)²/9 - (y + 1)²/16] = 1 and S₁, S₂ are its foci, then | s₁ P - S₂ P |

A.
8
B.
6
C.
4
D.
3

VITEEE PCME Mock Test - 8 - Question 38

The values of 'θ' satisfying sin 7θ = sin 4θ - sin θ in 0 < θ < π/2 are

A.
π/9 , π/4
B.
π/3 , π/9
C.
π/6 , π/4
D.
π/3 , π/4

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 38

sin 7θ + sin θ - sin 4θ = 0
⇒ 2 sin 4θ . cos 3θ - sin 4θ = 0
⇒ sin 4θ [2 cos 3θ - 1] = 0
⇒ sin 4θ = 0 or cos 3θ = 1/2 = cos ( π/3 )
⇒ 4θ = nπ or 3θ = 2nπ ( π/3 )
⇒ θ = nπ/4 or θ = ( 2nπ/3 ) ( π/9 )
∴ The values of θ are π/4 , π/9

VITEEE PCME Mock Test - 8 - Question 39

The angle between the vectors i-j+k and i+2j+k is

A.
cos^-1(1/√15)
B.
cos^-1(4/√15)
C.
cos^-1(-4/√15)
D.
π/2

VITEEE PCME Mock Test - 8 - Question 40

The volume of parallelopiped whose edges are -12i+λk, 3i-k, 2i+j-15k respectively is 546, then λ=

A.
2
B.
1
C.
-3
D.
0

VITEEE PCME Mock Test - 8 - Question 41

In an A.C. circuit, the power factor

A.
Is zero when the circuit contains an ideal resistance only
B.
Is unity when the circuit contains an ideal resistance only
C.
Is unity when the circuit contains an ideal inductance only
D.
None of the above

VITEEE PCME Mock Test - 8 - Question 42

The value of de-Broglie wavelength of an electron moving with a speed of 6.6 x 10⁵ m s^-1 is approximately [ h = 6.6 x 10^-34 J − sec , mass of electron = 9 x 10^-31 Kg ]

A.
11 Å
B.
111 Å
C.
211 Å
D.
311 Å

VITEEE PCME Mock Test - 8 - Question 43

A photon of energy 2.5eV and wavelength λ falls on a metal surface and the ejected electrons have a velocity 'V' . If the wave length λ of incident light is decreased by 20%, the velocity of emitted electrons is doubled, then the work function of the metal is

A.
2.6eV
B.
2.23eV
C.
2.5eV
D.
2.28eV

VITEEE PCME Mock Test - 8 - Question 44

9 gm of silver is deposited in 20 min. by a battery of 24 V. How many gms will be deposited in 40 min. by a battery of 8 V?

A.
18 gm
B.
36 gm
C.
24 gm
D.
6 gm

VITEEE PCME Mock Test - 8 - Question 45

If sky wave with a frequency of 50 MHz is incident on D-region at an angle of 30^o, then angle of refraction is

A.
15^o
B.
60^o
C.
30^o
D.
5.5^o

VITEEE PCME Mock Test - 8 - Question 46

Minimum resistance of a circuit, with n resistance 'R' each combination is

A.
R/n
B.
R/n²
C.
n R
D.
n²R

VITEEE PCME Mock Test - 8 - Question 47

If the charge on a capacitor is increased by 2 coulomb, the energy stored in it increases by 21%. The original charge on the capacitor is

A.
10C
B.
20C
C.
30C
D.
40C

VITEEE PCME Mock Test - 8 - Question 48

Which statement is true ?
(i) Kirchhoff's law is not equally applicable to both AC and DC.
(ii) Semiconductors have a positive temperature coefficient of resistance.
(iii) Meter bridge is least sensitive when the resistance of all the four arms of the bridge are of the same order .
(iv) The emf of a cell depends upon the size and area of electrodes.

A.
(i) and (iv)
B.
(ii) and (iv)
C.
(iii) and (iv)
D.
None of these

VITEEE PCME Mock Test - 8 - Question 49

A wire of length L is drawn such that its diameter is reduced to half of its original diameter. If the initial resistance of the wire were 10Ω, its new resistance would be

A.
40Ω
B.
80Ω
C.
120Ω
D.
160Ω

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 49

We have kept the volume of the wire constant i.e.

VITEEE PCME Mock Test - 8 - Question 50

In an experiment to measure the internal resistance of a cell, by a potentiometer, it is found that the balance point is at a length of 2 m, when the cell is shunted by a 5 Ω resistance and is at a length of 3m when the cell is shunted by a 10 Ω resistance. The internal resistance of the cell is

A.
1 Ω
B.
1.5 Ω
C.
10 Ω
D.
15 Ω

VITEEE PCME Mock Test - 8 - Question 51

If an electron and a photon propagates in the form of waves having the same wavelength, it implies that they have the same

A.
Energy
B.
Momentum
C.
Velocity
D.
Angular momentum

VITEEE PCME Mock Test - 8 - Question 52

A generator at a utility company produces 100 A of current at 4000 V. The voltage is stepped up to 240000 V by a transformer before it is sent on a high voltage transmission line. The current in transmission line is

A.
3.67 A
B.
2.67 A
C.
1.67 A
D.
2.40 A

VITEEE PCME Mock Test - 8 - Question 53

The expression for magnetic induction inside a solenoid of length L, carrying a current I and having N number of turns is

A.
μ₀/4π N/L I
B.
μ₀ NLI
C.
μ₀/4π NLI
D.
μ₀ N²/L I

VITEEE PCME Mock Test - 8 - Question 54

Which of the following waves have maximum wavelength?

A.
X-rays
B.
IR-rays
C.
UV-rays
D.
radio-waves

VITEEE PCME Mock Test - 8 - Question 55

A charge is placed at the centre of a cube, the flux emitted through its one face is

A.
q/∈₀
B.
q/2 ∈₀
C.
q/6 ∈₀
D.
q/12 ∈₀

VITEEE PCME Mock Test - 8 - Question 56

A charge of 5 C is given a displacement of 0.5 m. The work done in the process is 10 J. The potential difference between the two points will be

A.
25 V
B.
1 V
C.
0.25 V
D.
2 V

VITEEE PCME Mock Test - 8 - Question 57

Consider the situation shown in figure. Work done in carrying a point charge from k to A, B, C are

W_{A}, W_{B}, W_{C}

respectively. Which one is true?

A.
$W_{A} < W_{B} < W_{C}$
B.
$W_{A} = W_{B} = W_{C}$
C.
$W_{A} > W_{B} > W_{C}$
D.
$W_{A} = W_{B} < W_{C}$

VITEEE PCME Mock Test - 8 - Question 58

The ratio of charge to potential of a capacitor is known as its

A.
capacitance
B.
conductance
C.
inductance
D.
resistance

VITEEE PCME Mock Test - 8 - Question 59

Two point charges +8q and -2q are located at x = 0 and x = L respectively. The location of a point on the x-axis, at which the net electric field due to these two point charges is zero, is

A.
8L
B.
4L
C.
2L
D.
L/4

VITEEE PCME Mock Test - 8 - Question 60

To send 10% of the main current, through a moving coil galvanometer of resistance 99Ω, the shunt required is

A.
9.9 Ω
B.
10 Ω
C.
11 Ω
D.
9 Ω

VITEEE PCME Mock Test - 8 - Question 61

The inductance of a coil is L = 10 H and resistance R = 5 Ω . If applied voltage of battery is 10 V and it switches off in 1 millisecond, find induced emf of inductor.

A.
2 x 10⁴ V
B.
1.2 x 10⁴ V
C.
2 x 10^-4 V
D.
None of these

VITEEE PCME Mock Test - 8 - Question 62

The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an:

A.
isomer of parent
B.
isotone of parent
C.
isotope of parent
D.
isobar of parent

VITEEE PCME Mock Test - 8 - Question 63

The rest energy involved in a mass of one atomic mass unit is ---- eV.

A.
931 MeV
B.
1.6 eV
C.
9.3 MeV
D.
9.1

VITEEE PCME Mock Test - 8 - Question 64

A.
Fusion
B.
Fission
C.
β - decay
D.
γ - decay

VITEEE PCME Mock Test - 8 - Question 65

Assuming photoemission to continue to take place, the factor by which the maximum velocity of the emitted photoelectrons changes when the wavelength of the incident radiation is increased four times, is

A.
4
B.
1/4
C.
2
D.
1/2

VITEEE PCME Mock Test - 8 - Question 66

When the light source is kept 20 cm away from a photo cell, stopping potential 0.6 V is obtained. When source is kept 40 cm away, the stopping potential will be

A.
0.3 V
B.
0.6 V
C.
1.2 V
D.
2.4 V

VITEEE PCME Mock Test - 8 - Question 67

A mirror produces magnified erect image of an object. The nature of the mirror is

A.
Convex
B.
Concave
C.
Neither convex nor concave
D.
Plane

VITEEE PCME Mock Test - 8 - Question 68

The energy stored in a capacitor is actually stored

A.
between the plates
B.
on the positive plate
C.
on the negative plate
D.
on the outer surfaces of the plates

VITEEE PCME Mock Test - 8 - Question 69

The distance travelled by light in glass (refractive index =1.5) in a nanosecond will be

A.
45 cm
B.
40 cm
C.
30 cm
D.
20 cm

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 69

Speed of light in glass
Distance travelled in one nanosecond
= 2 x 10⁸ x 10^-9 = 0.2 m = 20 cm

VITEEE PCME Mock Test - 8 - Question 70

The voltage gain of an amplifier with 9% negative feedback is 10. The voltage gain without feedback will be

A.
100
B.
90
C.
10
D.
1.25

VITEEE PCME Mock Test - 8 - Question 71

To obtain p - type extrinsic semiconductor, the impurity element to be added to Germanium should be of valence

A.
2
B.
3
C.
4
D.
5

VITEEE PCME Mock Test - 8 - Question 72

The dominant mechanism for motion of charge carriers in forward and reverse biased silicon p-n junction are

A.
drift in forward bias, diffusion in reverse bias
B.
diffusion in forward bias, drift in reverse bias
C.
diffusion in both forward and reverse bias
D.
drift in both forward and reverse bias

VITEEE PCME Mock Test - 8 - Question 73

Electronic configuration of Germanium is 2, 8, 18 and 4. To make it extrinsic semiconductor small quantity of antimony is added

A.
The material obtained will be n-type Germanium in which electrons and holes are in equal number
B.
The material obtained will be p-type Germanium
C.
The material obtained will be n-type Germanium which has more electrons than holes at room temperature
D.
The material obtained will be n-type Germanium which has less electrons than holes at room temperature

VITEEE PCME Mock Test - 8 - Question 74

A rectifier converts

A.
light energy into electrical energy
B.
high frequency into low frequency
C.
alternating current into direct current
D.
mechanical energy into electric energy

VITEEE PCME Mock Test - 8 - Question 75

Electronic configuration of germanium is 2, 8, 18 and 4. To make it extrinsic semiconductor small quantity of antinomy is added

A.
The material obtained will be n-type germanium in which electrons and holes are equal in number
B.
The material obtained will be p-type germanium
C.
The material obtained will be n-type germanium which has more electrons then holes at room temperature
D.
The material obtained will be n-type germanium which has less electrons than holes at room temperature

VITEEE PCME Mock Test - 8 - Question 76

In the forward bias arrangement of a p-n junction diode

A.
The n-end is connected to the positive terminal of the battery
B.
The p-end is connected to the positive terminal of the battery
C.
The direction of current is from n-end to p-end in the diode
D.
The p-end is connected to the negative terminal of battery

VITEEE PCME Mock Test - 8 - Question 77

A wave front is the locus of all the particles of a medium, which are vibrating in the

A.
Same phase
B.
Out of phase
C.
Both A and B
D.
None of these

VITEEE PCME Mock Test - 8 - Question 78

The golden view of sea shell is due to

A.
diffraction
B.
dispersion
C.
polarisation
D.
reflection

VITEEE PCME Mock Test - 8 - Question 79

Two sources of same intensity interfere at a point and produced resultant I. When one source is removed, the intensity at that point will be

A.
I
B.
I/2
C.
I/4
D.
I/3

VITEEE PCME Mock Test - 8 - Question 80

In Young's experiment of double slit, the intensity of central bright band is ---- times the individual intensities of the interfering waves

A.
2
B.
3
C.
5
D.
4

VITEEE PCME Mock Test - 8 - Question 81

In presence of alkali, C₂H₅OH reacts with Cl₂ to give

A.
Ethane
B.
Ethyl chloride
C.
Chloroform
D.
Pyrene

VITEEE PCME Mock Test - 8 - Question 82

At room temperature formaldehyde is

A.
Gas
B.
Liquid
C.
Solid
D.
None of the above

VITEEE PCME Mock Test - 8 - Question 83

Schiff's reagent is

A.
Alkine phenolphthalein
B.
Methyl red
C.
Rosaniline hydrochloride
D.
Red litmus

VITEEE PCME Mock Test - 8 - Question 84

The product acetal is produced by reacting alcohol in the presence of dry HCl with

A.
Acetaldehyde
B.
Ketone
C.
Carboxylic acid
D.
Ether

VITEEE PCME Mock Test - 8 - Question 85

The addition of HBr to 2-pentene gives

A.
2-bromopentane only
B.
3-bromopentane only
C.
2-bromopentane and 3-bromopentane
D.
1-bromopentane and 3-bromopentane

VITEEE PCME Mock Test - 8 - Question 86

The ratio of the molar amounts of H₂S needed to precipitate the metal ions from 20 mL each of 1M Cd(NO₃)₂ and 0.5 M CuSO₄ is

A.
1 : 1
B.
2 : 1
C.
1 : 2
D.
Indefinite

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 86

As Cd²⁺ and Cu²⁺, both are dipositive ions but Cu²⁺ has one half of the concentration compared to that of the Cd²⁺. Thus, the molar amount of the H₂S used to precipitate the metals ions Cd²⁺ and Cu²⁺ is 2 : 1.

VITEEE PCME Mock Test - 8 - Question 87

How many monochlorobutanes will be obtained on chlorination of n-butane?

A.
1
B.
2
C.
3
D.
4

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 87

VITEEE PCME Mock Test - 8 - Question 88

The unit for electric current is

A.
ohm
B.
volt
C.
ampere
D.
coulomb

VITEEE PCME Mock Test - 8 - Question 89

Which one of the following compounds is not a vitamin?

A.
Ascorbic acid
B.
Thiamine
C.
Testosterone
D.
Riboflavin

VITEEE PCME Mock Test - 8 - Question 90

The substances which act as emulsifiers in lipid metabolism are

A.
Bile juices
B.
Fatty acids
C.
Amino acids
D.
Sulphonic acids

VITEEE PCME Mock Test - 8 - Question 91

Scurvy is caused due to the deficiency of vitamin

A.
B₁
B.
C
C.
K
D.
D

VITEEE PCME Mock Test - 8 - Question 92

The following reaction is called
2 CH₃COOC₂H₅ → CH₃COCH₂COOC₂H₅

A.
Perkin reaction
B.
Tischenko reaction
C.
Claisen condensation
D.
Schotten-Bumann reaction

VITEEE PCME Mock Test - 8 - Question 93

Which of the following is the strongest acid?

A.
CF₃COOH
B.
CBr₃COOH
C.
CH₃COOH
D.
CCl₃COOH

VITEEE PCME Mock Test - 8 - Question 94

Vinegar made from cane sugar, now-a-days synthetically contains

A.
Critic acid
B.
Lactic acid
C.
Acetic acid
D.
Palmitic acid

VITEEE PCME Mock Test - 8 - Question 95

The role of a catalyst in a reversible reaction is to

A.
increase the rate of forward reaction
B.
decrease the rate of backward reaction
C.
alter the equilibrium constant of the reaction
D.
allow the equilibrium to be achieved quickly

VITEEE PCME Mock Test - 8 - Question 96

Calculate Δ H in KJ for the following reaction C(s)+ O₂ g → CO₂ g Given that
H₂O g + C g → CO g + H₂ g , Δ H = + 131 k J
CO g + 1/2 O₂ g → CO₂ g , Δ H = − 282 k J
H₂ g + 1/2 O₂ g →H₂O g , Δ H = − 242 k J

A.
− 393
B.
+ 393
C.
+ 655
D.
− 655

VITEEE PCME Mock Test - 8 - Question 97

The rate, at which a substance reacts at constant temperature, depends upon its

A.
atomic mass
B.
active mass
C.
molecular mass
D.
equivalent mass

VITEEE PCME Mock Test - 8 - Question 98

The free energy change ∆G=0, when

A.
the system is at equilibrium
B.
catalyst is added
C.
reactants are initially mixed thoroughly
D.
the reactants are completely consumed

VITEEE PCME Mock Test - 8 - Question 99

Which of the following ingredients is not used in sun burn creams?

A.
perfumes
B.
emollients
C.
preservatives
D.
bleaching agent

VITEEE PCME Mock Test - 8 - Question 100

Which of the following will show geometrical isomerism ?

A.
1-Butene
B.
1,2-Dibromobut-1-ene
C.
Propene
D.
Isopropylene

VITEEE PCME Mock Test - 8 - Question 101

Standard enthalpy and standard entropy changes for the oxidation of ammonia at 298 K are - 382.64 kJ mol^-1 and - 145.6 JK^-1 mol^-1 respectively. The standard Gibbs energy change for the same reaction 298 K is

A.
- 523.2 kJmol^-1
B.
- 221.1 kJmol^-1
C.
- 339.3 kJmol^-1
D.
- 439.3 kJmol^-1

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 101

VITEEE PCME Mock Test - 8 - Question 102

How many EDTA (ethylenediaminetetraacetic acid) molecules are required to make an octahedral complex with a Ca²⁺ ion?

A.
One
B.
Two
C.
Six
D.
Three

VITEEE PCME Mock Test - 8 - Question 103

Acetaldoxime reacts with P₂O₅ to give

A.
Methyl cyanide
B.
Ethyl cyanate
C.
Ethyl cyanide
D.
Mixture of all these

VITEEE PCME Mock Test - 8 - Question 104

Which of the following compound gives dye test ?

A.
Aniline
B.
Methylamine
C.
Diphenyl amine
D.
Ethylamine

VITEEE PCME Mock Test - 8 - Question 105

A complex compound of Co²⁺ with molecular formula CoCl_xyNH₃ gives a total of three ions per molecule when dissolved in water. How many Cl⁻ ions satisfy primary as well secondary valencies in this complex?

A.
3
B.
4
C.
1
D.
0

VITEEE PCME Mock Test - 8 - Question 106

The amount of electricity that can deposit 108 g of silver from silver nitrate solution is

A.
1 ampere
B.
1 coulomb
C.
1 Faraday
D.
2 ampere

VITEEE PCME Mock Test - 8 - Question 107

Which of the following is a strong electrolyte?

A.
Ca(NO₃)₂
B.
HCN
C.
CH₃COOH
D.
NH₄OH

VITEEE PCME Mock Test - 8 - Question 108

The quantity of electricity required to liberate 112 cm³ of hydrogen at STP from acidified water is

A.
965 C
B.
1 Faraday
C.
0.1 F
D.
96500 C

VITEEE PCME Mock Test - 8 - Question 109

The important oxide ore of iron is

A.
Siderite
B.
Pyrites
C.
Haematite
D.
Bauxite

VITEEE PCME Mock Test - 8 - Question 110

Among the following oxides, the least acidic is

A.
P₄O₆
B.
P₄O₁₀
C.
As₄O₆
D.
As₄O₁₀

VITEEE PCME Mock Test - 8 - Question 111

Use of hot air balloons in sports and metereological observations is an application of

A.
Boyle's law
B.
Charle's law
C.
Kelvin's law
D.
Newtonic law

VITEEE PCME Mock Test - 8 - Question 112

When ether is exposed in air for sometime, an explosive substance produced is

A.
Peroxide
B.
TNT
C.
Oxide
D.
Super oxide

VITEEE PCME Mock Test - 8 - Question 113

An alloy which does not contain copper is

A.
Solder
B.
Brass
C.
Bronze
D.
Bell metal

VITEEE PCME Mock Test - 8 - Question 114

Nitrogen shows different oxidation states in the range

A.
0 to +5
B.
-3 to +5
C.
-3 to +3
D.
+3 to +5

VITEEE PCME Mock Test - 8 - Question 115

In CsCl structure, each Cs⁺ ion is surrounded by

A.
4Cl⁻ ions
B.
6Cl⁻ ions
C.
8Cl⁻ ions
D.
12Cl⁻ ions

VITEEE PCME Mock Test - 8 - Question 116

A.
enantiomers
B.
diastereomers
C.
geometrical isomers
D.
same structure

VITEEE PCME Mock Test - 8 - Question 117

Zn²⁺aq) + 2e^- → Zn(s). This is

A.
Oxidation
B.
Reduction
C.
Redox reaction
D.
None of the above

VITEEE PCME Mock Test - 8 - Question 118

Cupric hydroxide dissolves in aqueous ammonia due to

A.
Reduction to cuprous hydroxide
B.
Complex formation
C.
Increase in pH
D.
The amphoteric nature of Cu(OH)₂

VITEEE PCME Mock Test - 8 - Question 119

The formation of a colloid from suspension is

A.
Peptisation
B.
Condensation
C.
Sedimentation
D.
Fragmentation

VITEEE PCME Mock Test - 8 - Question 120

Cuprous ion is colourless while cupric ion is coloured because

A.
Both have half filled p- and d-orbitals
B.
Cuprous ion has incomplete d-orbital and cupric ion has a complete d-orbital
C.
Both have unpaired electrons in the d-orbital
D.
Cuprous ion has a complete d-orbital and cupric ion has an incomplete d-orbital

VITEEE PCME Mock Test - 8 - Question 121

Find the antonym of DEROGATORY

A.
praiseworthy
B.
laudatory
C.
respectable
D.
admirable

VITEEE PCME Mock Test - 8 - Question 122

Find the Synonym of BLADERDASH

A.
adventure
B.
nonsense
C.
thriller
D.
romance

VITEEE PCME Mock Test - 8 - Question 123

Fill in the blank with appropriate word.
Many of the advances of civilisation have been conceived by young people just on the........of adulthood

A.
horizon
B.
boundary
C.
peak
D.
threshold

VITEEE PCME Mock Test - 8 - Question 124

Out of the given alternatives, choose the one which can be substituted for the given capitalised word.

The police fired AT RANDOM at the violent crowd and several persons lost their lives.

A.
pointedly
B.
aimlessly
C.
unwillingly
D.
intentionally

VITEEE PCME Mock Test - 8 - Question 125

Improve the sentence by choosing best alternative for capitalised part of the sentence.

Last evening I went to the optician and bought SPECTACLES

A.
a spectacle
B.
two spectacles
C.
a pair of spectacles
D.
No improvement

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VITEEE PCME Mock Test - 8

125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 8

For the curve x = t2 - 1, y = t2 - t tangent is parallel to x-axis where

The area, in square unit, bounded by the curves y = x3, y = x2 and the ordinates x = 1, x = 2 is

Is zero when the circuit contains an ideal resistance only

Is unity when the circuit contains an ideal resistance only

Is unity when the circuit contains an ideal inductance only

None of the above

18 gm

36 gm

24 gm

6 gm

10C

20C

30C

40C

(i) and (iv)

(ii) and (iv)

(iii) and (iv)

None of these

1 Ω

1.5 Ω

10 Ω

15 Ω

Energy

Momentum

Velocity

Angular momentum

3.67 A

2.67 A

1.67 A

2.40 A

X-rays

IR-rays

UV-rays

radio-waves

q/∈₀

q/2 ∈₀

q/6 ∈₀

q/12 ∈₀

25 V

1 V

0.25 V

2 V

W A < W B < W C

W A = W B = W C

W A > W B > W C

W A = W B < W C

capacitance

conductance

inductance

resistance

8L

4L

2L

L/4

9.9 Ω

10 Ω

11 Ω

9 Ω

isomer of parent

isotone of parent

isotope of parent

isobar of parent

931 MeV

1.6 eV

9.3 MeV

9.1

4

1/4

2

1/2

0.3 V

0.6 V

1.2 V

2.4 V

Convex

Concave

Neither convex nor concave

Plane

For the curve x = t² - 1, y = t²- t tangent is parallel to x-axis where

The area, in square unit, bounded by the curves y = x³, y = x² and the ordinates x = 1, x = 2 is

$W_{A} < W_{B} < W_{C}$

$W_{A} = W_{B} = W_{C}$

$W_{A} > W_{B} > W_{C}$

$W_{A} = W_{B} < W_{C}$